Find
f. f ''(x) = −2 + 36x − 12x2, f(0) = 2, f '(0) = 18

Step-by-step explanation:

In order to find we need to integrate twice . So it's good to have in mind the next rules:

Where C, is an arbitrary constant.

The integral of the sum of two functions is equal to the sum of the integrals of these functions:

So, let's integrate in order to obtain :

Integrating:

Evaluating the initial condition in order to find C1:

Now, let's integrate in order to obtain :

Evaluating the other initial condition in order to find C2:

Knowing the value of C1 and C2, we can conclude that the function is given by:

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: